{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import sympy as sy\n",
    "sy.init_printing() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Visualization of Linear Combination in $\\mathbb{R}^2$ </font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider two vectors $u$ and $v$ in $\\mathbb{R}^2$, they are independent of each other, i.e. not pointing to the same or opposite direction. Therefore any vector in the $\\mathbb{R}^2$ can be represented by a **linear combination** of $u$ and $v$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For instance, this is a linear combination and essentially a linear system."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "c_1\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "4\\\\\n",
    "2\n",
    "\\end{matrix}\n",
    "\\right]+\n",
    "c_2\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "-2\\\\\n",
    "2\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "2\\\\\n",
    "10\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Solve the system in SymPy:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & 2\\\\0 & 1 & 3\\end{matrix}\\right], \\  \\left( 0, \\  1\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  2⎤        ⎞\n",
       "⎜⎢       ⎥, (0, 1)⎟\n",
       "⎝⎣0  1  3⎦        ⎠"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = sy.Matrix([[4, -2, 2], [2,2,10]])\n",
    "A.rref()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution is $(c_1, c_2)^T = (2, 3)^T$, which means the addition of $2$ times of $\\left[\n",
    "\\begin{matrix}\n",
    "4\\\\\n",
    "2\n",
    "\\end{matrix}\n",
    "\\right]$ and $3$ times of $\\left[\n",
    "\\begin{matrix}\n",
    "-2\\\\\n",
    "2\n",
    "\\end{matrix}\n",
    "\\right]$ equals $\\left[\n",
    "\\begin{matrix}\n",
    "2\\\\\n",
    "10\n",
    "\\end{matrix}\n",
    "\\right]$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Besides plotting the vector addition, we would like to plot the **coordinates of basis** that spanned by $u$ and $v$. We will explain further in later chapter."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the slope of vectors, i.e. $\\frac{y}{x}$\n",
    "$$\n",
    "s_1 =\\frac{y}{x} = \\frac{2}{4}=.5\\\\\n",
    "s_2 =\\frac{y}{x}= \\frac{2}{-2}=.-1\n",
    "$$\n",
    "\n",
    "The basis can be constructed as:\n",
    "$$\n",
    "y_1 = a+.5x\\\\\n",
    "y_2 = b-x\n",
    "$$\n",
    "where $a$ and $b$ will be set as constants with regular intervals, such as $(2.5, 5, 7.5, 10)$. \n",
    "\n",
    "The coordinates of basis are pink web-style grids, each line segment is a unit (like $1$ in Cartesian coordinate system) in the 'new' coordinates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "\n",
    "vec = np.array([[[0,0,4,2]],\n",
    "                 [[0,0,-2,2]],\n",
    "                 [[0,0,2,10]],\n",
    "                 [[0,0,8,4]], \n",
    "                 [[0,0,-6,6]]])\n",
    "colors = ['b','b','r','b','b']\n",
    "\n",
    "for i in range(vec.shape[0]):\n",
    "    X,Y,U,V = zip(*vec[i,:,:])\n",
    "    ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', color = colors[i], scale=1, alpha = .6)\n",
    "    ax.text(x = vec[i,0,2], y = vec[i,0,3], s = '(%.0d, %.0d)' %(vec[i,0,2],vec[i,0,3]), fontsize = 16)\n",
    "\n",
    "points12 = np.array([[8,4],[2,10]])\n",
    "ax.plot(points12[:,0], points12[:,1], c = 'b', lw = 3.5,alpha =0.5, ls = '--')\n",
    "\n",
    "points34 = np.array([[-6, 6],[2,10]])\n",
    "ax.plot(points34[:,0], points34[:,1], c = 'b', lw = 3.5,alpha =0.5, ls = '--')\n",
    "\n",
    "ax.set_xlim([-10, 10])\n",
    "ax.set_ylim([0, 10.5])\n",
    "ax.set_xlabel('x-axis', fontsize =16)\n",
    "ax.set_ylabel('y-axis', fontsize =16)\n",
    "ax.grid()\n",
    "\n",
    "######################################Basis########################################\n",
    "a = np.arange(-11, 20, 1)\n",
    "x = np.arange(-11, 20, 1)\n",
    "\n",
    "for i in a:    \n",
    "    y1 = i + .5*x\n",
    "    ax.plot(x, y1, ls = '--', color = 'pink', lw = 2)\n",
    "    y2 = i - x\n",
    "    ax.plot(x, y2, ls = '--', color = 'pink', lw = 2)    \n",
    "\n",
    "ax.set_title('Linear Combination of Two Vectors in $\\mathbf{R}^2$', size = 22, x =0.5, y = 1.01)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Linear Combination Visualization in 3D</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also show that any vectors in $\\mathbb{R}^3$ can be a linear combination of a standard basis in Cartesian coordinate system. \n",
    "\n",
    "Here is the function for plotting 3D linear combination from standard basis, we just feed the _scalar multiplier_. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def linearCombo(a, b, c):\n",
    "    '''This function is for visualizing linear combination of standard basis in 3D.\n",
    "    Function syntax: linearCombo(a, b, c), where a, b, c are the scalar multiplier, \n",
    "    also the elements of the vector.\n",
    "    '''\n",
    "    fig = plt.figure(figsize=(10,10))\n",
    "    ax = fig.add_subplot(111, projection='3d')\n",
    "    ######################## Standard basis and Scalar Multiplid Vectors#########################\n",
    "    vec = np.array([[[0, 0, 0, 1, 0, 0]], # e1\n",
    "                    [[0, 0, 0, 0, 1, 0]], # e2\n",
    "                    [[0, 0, 0, 0, 0, 1]], # e3\n",
    "                    [[0, 0, 0, a, 0, 0]], # a* e1\n",
    "                    [[0, 0, 0, 0, b, 0]], # b* e2\n",
    "                    [[0, 0, 0, 0, 0, c]], # c* e3\n",
    "                    [[0, 0, 0, a, b, c]]]) # ae1 + be2 + ce3\n",
    "    colors = ['b','b','b','r','r','r','g']\n",
    "    for i in range(vec.shape[0]): \n",
    "        X, Y, Z, U, V, W = zip(*vec[i,:,:])\n",
    "        ax.quiver(X, Y, Z, U, V, W, length=1, normalize=False, \n",
    "                  color = colors[i] ,arrow_length_ratio = .08, pivot = 'tail',\n",
    "                  linestyles = 'solid',linewidths = 3, alpha =.6)\n",
    "    \n",
    "    #################################Plot Rectangle Boxes##############################\n",
    "    dlines = np.array([[[a, 0, 0],[a, b, 0]],\n",
    "                      [[0, b, 0],[a, b, 0]],\n",
    "                      [[0, 0, c],[a, b, c]],\n",
    "                      [[0, 0, c],[a, 0, c]],\n",
    "                      [[a, 0, c],[a, b, c]],\n",
    "                      [[0, 0, c],[0, b, c]],\n",
    "                      [[0, b, c],[a, b, c]],\n",
    "                      [[a, 0, 0],[a, 0, c]],\n",
    "                      [[0, b, 0],[0, b, c]],\n",
    "                      [[a, b, 0],[a, b, c]]])\n",
    "    colors = ['k','k','g','k','k','k','k','k','k']\n",
    "    for i in range(dlines.shape[0]):\n",
    "        ax.plot(dlines[i,:,0], dlines[i,:,1], dlines[i,:,2], lw =3, ls = '--', color = 'black', alpha=0.5)\n",
    "    \n",
    "    #################################Annotation########################################\n",
    "    ax.text(x = a, y = b, z = c, s= ' $(%0.d, %0.d, %.0d)$'% (a, b, c), size = 18)\n",
    "    ax.text(x = a, y = 0, z = 0, s= ' $%0.d e_1 = (%0.d, 0, 0)$'% (a, a), size = 15)\n",
    "    ax.text(x = 0, y = b, z = 0, s= ' $%0.d e_2 = (0, %0.d, 0)$'% (b, b), size = 15)\n",
    "    ax.text(x = 0, y = 0, z = c, s= ' $%0.d e_3 = (0, 0, %0.d)$' %(c, c), size = 15)\n",
    "    \n",
    "    #################################Axis Setting######################################\n",
    "    ax.grid()\n",
    "    ax.set_xlim([0, a+1])\n",
    "    ax.set_ylim([0, b+1])\n",
    "    ax.set_zlim([0, c+1])\n",
    "    \n",
    "    ax.set_xlabel('x-axis', size = 18)\n",
    "    ax.set_ylabel('y-axis', size = 18)\n",
    "    ax.set_zlabel('z-axis', size = 18)\n",
    "    \n",
    "    ax.set_title('Vector $(%0.d, %0.d, %.0d)$ Visualization' %(a, b, c), size = 20)\n",
    "    \n",
    "    ax.view_init(elev=20., azim=15)\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    a = 7\n",
    "    b = 4\n",
    "    c = 9\n",
    "    linearCombo(a, b, c)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "linearCombo(3, 5, 6) # Try again"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\"> Linear Combination of Inconsistent System</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Inconsistent system means no unique solution exists. It might sound weird to treat a solution of an inconsistent system as a linear combination, but it is essential a trace of line. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> One Free Variable Case</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have seen how inconsistent systems can be solved in the earlier lectures. Now we will investigate what solution means from the perspective of linear combination.\n",
    "\n",
    "Consider a system\n",
    "\n",
    "$$\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "1 & 1 & 2\\\\\n",
    "-2 &0 & 1\\\\\n",
    "1& 1 & 2\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "c_1\\\\c_2\\\\c_3\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "1\\\\-3\\\\1\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Solve in SymPy:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & - \\frac{1}{2} & \\frac{3}{2}\\\\0 & 1 & \\frac{5}{2} & - \\frac{1}{2}\\\\0 & 0 & 0 & 0\\end{matrix}\\right], \\  \\left( 0, \\  1\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  -1/2  3/2 ⎤        ⎞\n",
       "⎜⎢                ⎥        ⎟\n",
       "⎜⎢0  1  5/2   -1/2⎥, (0, 1)⎟\n",
       "⎜⎢                ⎥        ⎟\n",
       "⎝⎣0  0   0     0  ⎦        ⎠"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = sy.Matrix([[1,1,2,1],[-2,0,1,-3],[1,1,2,1]])\n",
    "A.rref()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution is not unique due to a free variable: "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "c_1 - \\frac{1}{2}c_3 =\\frac{3}{2}\\\\\n",
    "c_2 + \\frac{5}{2}c_3 = -\\frac{1}{2}\\\\\n",
    "c_3 = free\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let $c_3 = t$,  the system can be parameterized:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "c_1\\\\c_2\\\\c_3\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "\\frac{3}{2}+\\frac{1}{2}t\\\\\n",
    "-\\frac{1}{2}-\\frac{5}{2}t\\\\\n",
    "t\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution is a line of infinite length, to visualize it, we set the range of $t\\in (-1, 1)$, the solution looks like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize = (8,8))\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "t = np.linspace(-1, 1, 10)\n",
    "c1 = 3/2+t/2\n",
    "c2 = -1/2-5/2*t\n",
    "\n",
    "ax.plot(c1, c2, t, lw = 5)\n",
    "\n",
    "ax.set_xlabel('x-axis', size = 18)\n",
    "ax.set_ylabel('y-axis', size = 18)\n",
    "ax.set_zlabel('z-axis', size = 18)\n",
    "\n",
    "ax.set_title('Solution of A Linear System with One Free Variable', size = 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <font face=\"gotham\" color=\"purple\"> Two Free Variables Case</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now consider the linear system:\n",
    "$$\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "1 & -3 & -2\\\\\n",
    "0 &0 & 0 \\\\\n",
    "0& 0 & 0 \n",
    "\\end{matrix}\n",
    "\\right]\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "x_1\\\\\n",
    "x_2\\\\\n",
    "x_3\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "0\\\\0\\\\0\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$\n",
    "The augmented matrix is\n",
    "$$\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "1 & -3 & -2 & 0\\\\\n",
    "0 &0 & 0 & 0\\\\\n",
    "0& 0 & 0 & 0\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have two free variables\n",
    "$$\n",
    "\\begin{align}\n",
    "x_1 &= 3x_2+2x_3\\\\\n",
    "x_2 &= free\\\\\n",
    "x_3 &= free\n",
    "\\end{align}\n",
    "$$\n",
    "Rewrite the solution \n",
    "\n",
    "$$\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "x_1\\\\\n",
    "x_2\\\\\n",
    "x_3\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "=\n",
    "\\left[\n",
    "\\begin{matrix}\n",
    "3x_2+2x_3\\\\\n",
    "x_2\\\\\n",
    "x_3\n",
    "\\end{matrix}\n",
    "\\right]\n",
    "=\n",
    "\\left[\\begin{array}{c}\n",
    "3 x_{2} \\\\\n",
    "x_{2} \\\\\n",
    "0\n",
    "\\end{array}\\right]+\\left[\\begin{array}{c}\n",
    "2 x_{3} \\\\\n",
    "0 \\\\\n",
    "x_{3}\n",
    "\\end{array}\\right]=\n",
    "x_{2}\\left[\\begin{array}{l}\n",
    "3 \\\\\n",
    "1 \\\\\n",
    "0\n",
    "\\end{array}\\right]+x_{3}\\left[\\begin{array}{l}\n",
    "2 \\\\\n",
    "0 \\\\\n",
    "1\n",
    "\\end{array}\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The solution is a plain spanned by two vectors $(3, 1, 0)^T$ and $(2, 0, 1)^T$. Let's draw the plane and spanning vectors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also plot another vector $v = (2,2,1)$ which is not a linear combination of $(3, 1, 0)^T$ and $(2, 0, 1)^T$. As you pan around the view angle (in JupyterLab use ```%matplotlib widge```), it is apparent that $v$ is not in the same plane of basis vectors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize = (8,8))\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "x2 = np.linspace(-2, 2, 10)\n",
    "x3 = np.linspace(-2, 2, 10)\n",
    "X2, X3 = np.meshgrid(x2, x3)\n",
    "X1 = 3*X2 + 2*X3\n",
    "ax.plot_wireframe(X1, X2, X3, linewidth = 1.5, color = 'k', alpha = .6)\n",
    "\n",
    "vec = np.array([[[0, 0, 0, 3, 1, 0]],\n",
    "               [[0, 0, 0, 2, 0, 1]],\n",
    "               [[0, 0, 0, 5, 1, 1]],\n",
    "               [[0, 0, 0, 2, 2, 1]]])\n",
    "colors = ['r', 'b', 'g', 'purple']\n",
    "for i in range(vec.shape[0]):\n",
    "    X, Y, Z, U, V, W = zip(*vec[i,:,:])\n",
    "    ax.quiver(X, Y, Z, U, V, W, length=1, normalize=False, color = colors[i],\n",
    "              arrow_length_ratio = .08, pivot = 'tail',\n",
    "              linestyles = 'solid',linewidths = 3, alpha = .6)\n",
    "\n",
    "################################Dashed Line################################\n",
    "\n",
    "point12 = np.array([[2, 0, 1],[5, 1, 1]])\n",
    "ax.plot(point12[:,0], point12[:,1], point12[:,2], lw =3, ls = '--', color = 'black', alpha=0.5)\n",
    "\n",
    "point34 = np.array([[3, 1, 0], [5, 1, 1]])\n",
    "ax.plot(point34[:,0], point34[:,1], point34[:,2], lw =3, ls = '--', color = 'black', alpha=0.5)\n",
    "\n",
    "#################################Texts#######################################\n",
    "ax.text(x = 3, y = 1, z = 0, s='$(3, 1, 0)$', color = 'red', size = 16)\n",
    "ax.text(x = 2, y = 0, z = 1, s='$(2, 0, 1)$', color = 'blue', size = 16)\n",
    "ax.text(x = 5, y = 1, z = 1, s='$(5, 1, 1)$', color = 'green', size = 16)\n",
    "ax.text(x = 2, y = 2, z = 1, s='$v$', color = 'purple', size = 16)\n",
    "\n",
    "ax.set_xlabel('x-axis', size = 18)\n",
    "ax.set_ylabel('y-axis', size = 18)\n",
    "ax.set_zlabel('z-axis', size = 18)\n",
    "\n",
    "ax.view_init(elev=-29, azim=130)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <font face=\"gotham\" color=\"purple\">Linear Combination of Polynomial</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a more general sense, a function or a polynomial can also be a linear combination of other functions or polynomials.\n",
    "\n",
    "Now consider a polynomial $p(x)=4 x^{3}+5 x^{2}-2 x+7$, determine if it is a linear combination of three polynomials below:\n",
    "$$\n",
    "p_{1}(x)=x^{3}+2 x^{2}-x+1\\\\\n",
    "p_{2}(x)=2 x^{3}+x^{2}-x+1\\\\\n",
    "p_{3}(x)=x^{3}-x^{2}-x-4\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "which means that we need to figure out if the equation below holds\n",
    "\n",
    "$$\n",
    "c_{1}\\left(x^{3}+2 x^{2}-x+1\\right)+c_{2}\\left(2 x^{3}+x^{2}-x+1\\right)+c_{3}\\left(x^{3}-x^{2}-x-4\\right)=4 x^{3}+5 x^{2}-2 x+7\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Rearrange and collect terms\n",
    "$$\n",
    "\\left(c_{1}+2 c_{2}+c_{3}\\right) x^{3}+\\left(2 c_{1}+c_{2}-c_{3}\\right) x^{2}+\\left(-c_{1}-c_{2}-c_{3}\\right) x+\\left(c_{1}+c_{2}-4 c_{3}\\right)=4 x^{3}+5 x^{2}-2 x+7\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Equate the coefficients and extract the augmented matrix\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&c_{1}+2 c_{2}+c_{3}=4\\\\\n",
    "&2 c_{1}+c_{2}-c_{3}=5\\\\\n",
    "&-c_{1}-c_{2}-c_{3}=-2\\\\\n",
    "&c_{1}+c_{2}-4 c_{3}=7\\\\\n",
    "&\\left[\\begin{array}{cccc}\n",
    "1 & 2 & 1 & 3 \\\\\n",
    "2 & 1 & -1 & 5 \\\\\n",
    "-1 & -1 & -1 & -2 \\\\\n",
    "1 & 1 & -4 & 7\n",
    "\\end{array}\\right]\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before solving, we notice that the system has 4 equations, but 3 unknowns, this case is called **over-determined**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1 & 0 & 0 & 1\\\\0 & 1 & 0 & 2\\\\0 & 0 & 1 & -1\\\\0 & 0 & 0 & 0\\end{matrix}\\right], \\  \\left( 0, \\  1, \\  2\\right)\\right)$"
      ],
      "text/plain": [
       "⎛⎡1  0  0  1 ⎤           ⎞\n",
       "⎜⎢           ⎥           ⎟\n",
       "⎜⎢0  1  0  2 ⎥           ⎟\n",
       "⎜⎢           ⎥, (0, 1, 2)⎟\n",
       "⎜⎢0  0  1  -1⎥           ⎟\n",
       "⎜⎢           ⎥           ⎟\n",
       "⎝⎣0  0  0  0 ⎦           ⎠"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = sy.Matrix([[1,2,1,4],[2,1,-1,5],[-1,-1,-1,-2],[1,1,-4,7]])\n",
    "A.rref()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We get the answer $(c_1, c_2, c_3)^T = (1, 2, -1)^T$, plug in back to equation\n",
    "$$\n",
    "\\left(x^{3}+2 x^{2}-x+1\\right)+2\\left(2 x^{3}+x^{2}-x+1\\right)-\\left(x^{3}-x^{2}-x-4\\right)=4 x^{3}+5 x^{2}-2 x+7\n",
    "$$\n",
    "Indeed we have just established a linear combination between these polynomials."
   ]
  }
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